International Tables for Crystallography

Volume E: Subperiodic groups

First online edition (2006)   ISBN: 978-1-4020-0715-6   eISBN: 978-1-4020-5410-5   doi: 10.1107/97809553602060000105

Edited by V. Kopský and D. B. Litvin

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	Go to   space group maximal subgroups of space group Wyckoff relations for space group scanning table for space group plane group maximal subgroups of plane group frieze group rod group layer group      No.   123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230

The first part of Volume E provides symmetry tables for the two-dimensional and three-dimensional subperiodic group types: the seven crystallographic frieze-group types (two-dimensional groups with one-dimensional translations), the 75 crystallographic rod-group types (three-dimensional groups with one-dimensional translations) and the 80 crystallographic layer-group types (three-dimensional groups with two-dimensional translations). The format and content of these symmetry tables are analogous to the format and content of the symmetry tables for the 230 three-dimensional crystallographic space groups and the 17 two-dimensional crystallographic space groups in Volume A.

The scanning tables, in the second part of Volume E, provide a relationship between space groups and subperiodic groups which finds application in the analysis of domain walls and twin boundaries. For a crystal of a given space-group symmetry, these tables determine the layer-group subgroup of the space group which leaves invariant a plane transecting the crystal.

Volume E was reviewed by R. Gould (Crystallography News, No. 85, June 2003, p. 13).